# trigonometry

A Wheel of radius 14in. is rotating 0.5 rad/sec. What is the linear speed v, the angular speed in RPM ( rev per min), and the angular speed in deg/sec?

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1. v = 2π*14in/rev * (.5/2π)rev/s = 28 in/s

.5rad/s * 1rev/2πrad * 60s/min = 4.77 rev/min

.5rad/s * 180°/πrad = 90/π °/s

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2. The velocity answer is incorrect. It should be 7in/sec.

v=14in(30rad/1min)=420in/1min(1min/60sec)=420in/60sec=7in/sec

The revolutions per minute and degrees per second are correct. But to further the answer to an approximate degree it would be about 28.648 degrees per second.

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